# Finding mean, median, and mode | Descriptive statistics | Probability and Statistics | Khan Academy

Find the mean, median,

and mode of the following sets of numbers. And they give us the

numbers right over here. So if someone just

says the mean, they’re really

referring to what we typically, in everyday

language, call the average. Sometimes it’s

called the arithmetic mean because you’ll

learn that there’s other ways of actually

calculating a mean. But it’s really you just

sum up all the numbers and you divide by the

numbers there are. And so it’s one way of

measuring the central tendency. The average, I

guess, we could say. So this is our mean. We want to average

23 plus 29– or we’re going to sum 23 plus 29 plus

20 plus 32 plus 23 plus 21 plus 33 plus 25, and then divide

that by the number of numbers. So we have 1, 2, 3,

4, 5, 6, 7, 8 numbers. So you want to divide that by 8. So let’s figure out

what that actually is. Actually, I’ll just get the

calculator out for this part. I could do it by hand, but

we’ll save some time over here. So we have 23 plus 29 plus

20 plus 32 plus 23 plus 21 plus 33 plus 25. So the sum of all

the numbers is 206. And then we want

to divide 206 by 8. So if I say 206 divided

by 8 gets us 25.75. So the mean is equal to 25.75. So this is one way

to kind of measure the center, the

central tendency. Another way is with the median. And this is to pick out the

middle number, the median. And to figure out the

median, what we want to do is order these numbers

from least to greatest. So it looks like the

smallest number here is 20. Then, the next one is 21. There’s no 22 here. Let’s see, there’s two 23’s. 23 and a 23. So 23 and a 23. And no 24’s. There’s a 25. 25. There’s no 26, 27, 28. There is a 29. 29. Then you have your 32. 32. And then you have your 33. 33. So what’s the middle number

now that we’ve ordered it? So we have 1, 2, 3,

4, 5, 6, 7, 8 numbers. We already knew that. And so there’s actually

going to be two middles. If you have an even

number, there’s actually two numbers

that qualify for close to the middle. And to actually get the median,

we’re going to average them. So 23 will be one of them. That, by itself,

can’t be the median because there’s

three less than it and there’s four

greater than it. And 25 by itself

can’t be the median because there’s three larger

than it and four less than it. So what we do is we take the

mean of these two numbers and we pick that as the median. So if you take 23 plus 25

divided by 2, that’s 48 over 2, which is equal to 24. So even though 24 isn’t

one of these numbers, the median is 24. So this is the middle number. So once again, this

is one way of thinking about central tendency. If you wanted a number

that could somehow represent the middle. And I want to be clear,

there’s no one way of doing it. This is one way of

measuring the middle. Let me put that in quotes. The middle. If you had to represent

this data with one number. And this is another way of

representing the middle. Then finally, we can

think about the mode. And the mode is

just the number that shows up the most

in this data set. And all of these numbers show

up once, except we have the 23, it shows up twice. And since because 23 shows up

the most, it shows up twice. Every other number shows

up once, 23 is our mode.

Thank you, It really helpful

it's so gud it helped me so much in my studies …..

Thanks brother

He's better than my teacher!

Thanks

Its help me verry much

omg

i love your math

Fine explanation by you

So boring

Worst ever we were forced to watch this it felt like forever

like this comment if you are here because you have a test tomorrow

this was so helpful, thank you

Very helpful

Just thanks you are just incredible explainer

Is my 2.83 trur

I DON'T UNDERSTAND THIS!

Gracias!!

Man dude all of the other videos are confusing but dude that just made my life like 30x easier thank you so much

Oooo u are so helpful thank u

this is so helpful. I wish i could be as bright as him……

Not helpful.

what if in the mode there are two number that are the top. What then?

Thank you for helping on Homework!

how did you find the numbers that you used…

sooo helpful imma pass tomorrow

If there are too many numbers to list and I am given the Max and the Min numbers what do I do then

WADU HEK

I’m here because I have A Sol on Wednesday

I fell asleep XD

Edit: IN A GOOD WAY

Thanks for helping me💪🏼

Adam’s average on four test is 80. Which of the following CANNOT be the number of tests on which he earned exactly 80 points?

(A) 1 (B) 2 (C) 3 (D) 4

Hello Sir can you tell me the answer of the above question.

I found this super useful I just wish you went over range too… 🙁 and 🙂

You have written 24 as median but can we use 24.2 or 24.3?they also divide the whole set into two equal parts too.Hope to get an answer soon

Thank lord Jesus for this dude 😀

Edit: I got a B on my math test!

Helped a lot! I forgot how to do my hw and now I know (Why they teaching this late in 7th?

what if my middle numbers are 1.5 1.5 1.5

In the sum above if their is a more than two same number then the mode is

Really helpful man. Really wish my teacher was this good at explaining this.

Wowww it's very easy… Thank u sir ur vedio is really very helpful for me..

WHAT ABOUT IF YOU DONT HAVE A REPEAT NUMBER WICH ONE IS GOING TO BE A MODE???

wow nice video thank you teacher i learn a lot

thanks that helped me a lot with my homework

thanks

Thank you so much

yaa correct when their is even but their is odd numbers who to consider to the median

People tell me I’m so mean, but I respond that I’m just average!

I love your explain so simple

You forgot the 24

sir jab mode mei number repeat na ho tab kya formula use krege……. plz sir tell me

i wish you were my teacher

You explained that better than my math teacher!! Who would dislike this video??!

Amazing but for mode, what if 2 numbers appear the same amount of time? What will we do then!? If you get what I mean… For example: 2,23,45,67,23,87,92,67

As you can see, 67 is repeated as well as 23, what should we do then? I hope that made it clearer. Please explain to me as I have a test soon! Thanks Khan Academy, u r amazing and you have helped me alot, could you help me for this too, this is also for the random person reading the comments. You have helped me alot through out the time ive been living (😂😅🤣) could you just help me for this too!? Thank you! Also, happy new year and i hope you had and amazing Christmas too!♡◇☆

Good bakvash

My mean always turns into a fraction 😕

Thank you so much because I Learn easily

thank you, god khan

Thxs so much was in a math test and watched this on phone and u helped so much god blees

Actually I'm here because of this.

10,15,18,19,19,22,22,26,29,30 find the mode

What's the correct answer? 19,19 or 22,22 or 19,19,22,22???

The best video ever according to me

Thank you

Thank you for helping me I get 💯 on my exam. Thank you 😊

Thx a lot bc I forgot my notes at school. Thx for always being there when I need u most Sal.

thank you bro for showing us how to learn it

Thank you so much it's help me a lot 😊

I like mode…that's a nice one😂😂

A good way to think about arithmetic means is to think about the contribution that each element provides the total given that the weight of all elements is equal. Just wanted to throw this tip because is easier to understand arithmetic mean under this light.

Hi

Oh my gosh thank you so much

why did that explain mz 45 min long lesson in 4 min

My teacher is letting us do a video of recording us Doing the following. Thank u for the help

Tq so much sir

my math teacher made me watch this like if this is your problem to

So do I divide it by 7 now?

I don’t even understand English

I'm relearning math to help my kids. I feel so dumb having to do this, but I was a troubled kid.

there is another way of finding the mean

add all the numbers then divide by how many numbers you've got

eg: i have to work out the mean of 2, 3, 16 and 21. i add 2 + 3 + 16 + 21= 42. i have got 4 numbers (2, 3, 16, 21) so i divide 42 by 4 to get 10 remainder 2

like the comment if this worked for u

Thx

I’m so dumb.

Can You leave your Mean or median answer in Mixed fraction?

What if all the numbers appear the same time.

AND YOU CAN’T FIGURE IT OUTAND YOU STILL DON’T UNDERSTANDAND CAN ONLY BE ONE ANSWERMay the gods of math help.

Thank you sir i learn Easily

Thank you so much!! I have a math exam tomorrow! And i have no clue about these. Then after i watched this video i learned SOO MUCH! Thank you so much!!

Who is here for the math Exam tomorrow?!??!

can you do by formula

range is also the same as mean, right?

Excellent video what's not to get? Well done Sir!

Thankyou so much

math antics:

is very bad, takes a long time to get to the point, many jokes nobody finds funnykahn academy:

gets to the point and explains like no other with good jokes here and thereIf mean is 5 and median 10 then what is mode?

It's helpful to my studies

Please adopt me sal

My question is how would one find the mean, if not all given numerical values are present?

You are very hepful

nice study bro

i like your voice

can u help me in 15 observations mode,median and range

😎 cool

THANK YOU FOR A VERY UNDERSTANDABLE & A VERY CONVENIENT WAY OF EXPLAINING THIS TOPIC

IT REALLY HELPED US! GOD BLESS! MWAH

This rly helped

I love you

Very good sir

If there is no number that are equal, then what will be the mode of those numbers.